ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

The set of all positive even integers is

• Not a group A
• A group w.r.t subtraction B
• A group w.r.t division C
• A group w.r.t multiplication D

The function {f(x,y)|y = ax2 +bx +c} is

• One-one function A
• Constant function B
• Onto function C
• Quadratic function D

The statement that a group can have more than one identity elements is

• True A
• False B
• Ambiguous C
• Some times true D

If A is a set then any subset R of A x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of -1 in the set {1-,1} is

• 1 A
• -1 B
• ±1 C
• 0 D
• Does not exist E

If B-A≠φ , then n(B-A) is equal to

• n(a)+n(c) A
• n(c)-n(a) B
• n(a)-n(c) C
• None of these D

• 1 A
• 12 B
• 5 C
• 29 D

• 
  A
• 
  B
• 
  C
• 
  D

Power set of X i.e P(X)..........under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• A'B' C
• B'A D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

The set of real numbers is a subset of

• The set of natural numbers A
• The set of rational numbers B
• The set of integers C
• The set of complex numbers D

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

The set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a group D

Which conjunction is not true ?

• 
  A
• 
  B
• 
  C
• 
  D

Let A and B be two sets. If every element of A is also an element of B then

• 
  A
• 
  B
• 
  C
• 
  D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these D

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D